IDEAS home Printed from https://ideas.repec.org/p/boj/bojwps/wp18e20.html
   My bibliography  Save this paper

The Labor Share, Capital-Labor Substitution, and Factor Augmenting Technologies

Author

Listed:
  • Naohisa Hirakata

    (Bank of Japan)

  • Yasutaka Koike

    (Bank of Japan)

Abstract

In this paper, we analyze the dynamics of the labor share in the United States and Japan using a dynamic stochastic general equilibrium (DSGE) model. For this purpose, we develop a model employing a constant elasticity of substitution (CES) production function with capital- and labor- augmenting technologies and investment specific technology. Our findings are as follows. First, comparing two different specifications of our model - one with a CES production function and one with a Cobb-Douglas production function - using marginal data densities indicates that the former provides a better fit for both the U.S. and Japanese data. Second, our estimates suggest that the elasticity of substitution is larger than one in the United States but less than one in Japan. Third, while capital-augmenting technology shocks have contributed to the decline of the labor share in the United States, they have exerted upward pressure on the labor share in Japan. The difference in the effects of capital-augmenting technology shocks on the labor share is due to the difference in the elasticity of substitution in the United States and Japan. Finally, the estimated models for the United States and Japan successfully replicate the observed relationship between the labor share and inflation.

Suggested Citation

  • Naohisa Hirakata & Yasutaka Koike, 2018. "The Labor Share, Capital-Labor Substitution, and Factor Augmenting Technologies," Bank of Japan Working Paper Series 18-E-20, Bank of Japan.
  • Handle: RePEc:boj:bojwps:wp18e20
    as

    Download full text from publisher

    File URL: http://www.boj.or.jp/en/research/wps_rev/wps_2018/data/wp18e20.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Alejandro Justiniano & Giorgio Primiceri & Andrea Tambalotti, 2011. "Investment Shocks and the Relative Price of Investment," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 14(1), pages 101-121, January.
    2. Thomas Piketty & Gabriel Zucman, 2014. "Capital is Back: Wealth-Income Ratios in Rich Countries 1700–2010," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 129(3), pages 1255-1310.
    3. Cristiano Cantore & Miguel León-Ledesma & Peter McAdam & Alpo Willman, 2014. "Shocking Stuff: Technology, Hours, And Factor Substitution," Journal of the European Economic Association, European Economic Association, vol. 12(1), pages 108-128, February.
    4. Robert S. Chirinko, 2008. "ó: The Long And Short Of It," CESifo Working Paper Series 2234, CESifo.
    5. Yasuo Hirose & Takushi Kurozumi, 2012. "Do Investment-Specific Technological Changes Matter For Business Fluctuations? Evidence From Japan," Pacific Economic Review, Wiley Blackwell, vol. 17(2), pages 208-230, May.
    6. Dongya Koh & Raül Santaeulàlia‐Llopis & Yu Zheng, 2020. "Labor Share Decline and Intellectual Property Products Capital," Econometrica, Econometric Society, vol. 88(6), pages 2609-2628, November.
    7. Chirinko, Robert S., 2008. "[sigma]: The long and short of it," Journal of Macroeconomics, Elsevier, vol. 30(2), pages 671-686, June.
    8. Calvo, Guillermo A., 1983. "Staggered prices in a utility-maximizing framework," Journal of Monetary Economics, Elsevier, vol. 12(3), pages 383-398, September.
    9. Sbordone, Argia M., 2002. "Prices and unit labor costs: a new test of price stickiness," Journal of Monetary Economics, Elsevier, vol. 49(2), pages 265-292, March.
    10. Daron Acemoglu & Pascual Restrepo, 2018. "The Race between Man and Machine: Implications of Technology for Growth, Factor Shares, and Employment," American Economic Review, American Economic Association, vol. 108(6), pages 1488-1542, June.
    11. H. Uzawa, 1961. "Neutral Inventions and the Stability of Growth Equilibrium," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 28(2), pages 117-124.
    12. José Azar & Ioana Marinescu & Marshall Steinbaum, 2022. "Labor Market Concentration," Journal of Human Resources, University of Wisconsin Press, vol. 57(S), pages 167-199.
    13. Jan De Loecker & Jan Eeckhout & Gabriel Unger, 2020. "The Rise of Market Power and the Macroeconomic Implications [“Econometric Tools for Analyzing Market Outcomes”]," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 135(2), pages 561-644.
    14. Grossman, Gene M. & Helpman, Elhanan & Oberfield, Ezra & Sampson, Thomas, 2017. "The productivity slowdown and the declining labor share: a neoclassical exploration," LSE Research Online Documents on Economics 86597, London School of Economics and Political Science, LSE Library.
    15. Peter McAdam, 2011. "Technology, hours and factor substitution," Research Bulletin, European Central Bank, vol. 13, pages 8-12.
    16. J. B. Taylor & M. Woodford (ed.), 1999. "Handbook of Macroeconomics," Handbook of Macroeconomics, Elsevier, edition 1, volume 1, number 1.
    17. Cantore, Cristiano & Levine, Paul & Pearlman, Joseph & Yang, Bo, 2015. "CES technology and business cycle fluctuations," Journal of Economic Dynamics and Control, Elsevier, vol. 61(C), pages 133-151.
    18. Dale W. Jorgenson & Mun S. Ho & Jon D. Samuels, 2012. "Information Technology and US Productivity Growth: Evidence from a Prototype Industry Production Account," Chapters, in: Matilde Mas & Robert Stehrer (ed.), Industrial Productivity in Europe, chapter 2, Edward Elgar Publishing.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Kosuke Aoki & Yoshihiko Hogen & Kosuke Takatomi, 2023. "Price Markups and Wage Setting Behavior of Japanese Firms," Bank of Japan Working Paper Series 23-E-5, Bank of Japan.
    2. ADACHI Daisuke & SAITO Yukiko, 2020. "Multinational Production and Labor Share," Discussion papers 20012, Research Institute of Economy, Trade and Industry (RIETI).
    3. Ergül, Özgür & Göksel, Türkmen, 2020. "The effects of technological development on the labor share of national income," Economic Modelling, Elsevier, vol. 87(C), pages 158-171.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Alessandro Bellocchi & Giovanni Marin & Giuseppe Travaglini, 2021. "The Great Fall of Labor Share:Micro Determinants for EU Countries Over 2011-2019," Working Papers 2102, University of Urbino Carlo Bo, Department of Economics, Society & Politics - Scientific Committee - L. Stefanini & G. Travaglini, revised 2021.
    2. Cantore, Cristiano & Ferroni, Filippo & León-Ledesma, Miguel A., 2017. "The dynamics of hours worked and technology," Journal of Economic Dynamics and Control, Elsevier, vol. 82(C), pages 67-82.
    3. Pengfei Zhang, 2023. "Endogenous capital-augmenting R&D, intersectoral labor reallocation, and the movement of the labor share," Journal of Economics, Springer, vol. 140(1), pages 1-36, September.
    4. Growiec, Jakub & McAdam, Peter & Mućk, Jakub, 2018. "Endogenous labor share cycles: Theory and evidence," Journal of Economic Dynamics and Control, Elsevier, vol. 87(C), pages 74-93.
    5. Nikolaos Charalampidis, 2020. "The U.S. Labor Income Share And Automation Shocks," Economic Inquiry, Western Economic Association International, vol. 58(1), pages 294-318, January.
    6. Dongya Koh & Raül Santaeulàlia-Llopis, 2017. "Countercyclical Elasticity of Substitution," Working Papers 946, Barcelona School of Economics.
    7. Kyoji Fukao & Cristiano Perugini, 2021. "The Long‐Run Dynamics of the Labor Share in Japan," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 67(2), pages 445-480, June.
    8. Matteo G. Richiardi & Luis Valenzuela, 2024. "Firm heterogeneity and the aggregate labour share," LABOUR, CEIS, vol. 38(1), pages 66-101, March.
    9. von Maydell, Richard, 2024. "Artificial Intelligence and its Effect on Competition and Factor Income Shares," VfS Annual Conference 2023 (Regensburg): Growth and the "sociale Frage" 277654, Verein für Socialpolitik / German Economic Association, revised 2024.
    10. Rada, Codrina & Tavani, Daniele & von Arnim, Rudiger & Zamparelli, Luca, 2023. "Classical and Keynesian models of inequality and stagnation," Journal of Economic Behavior & Organization, Elsevier, vol. 211(C), pages 442-461.
    11. Andrew Glover & Jacob Short, 2020. "Can Capital Deepening Explain the Global Decline in Labor's Share?," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 35, pages 35-53, January.
    12. Marco Di Pietro & Enrico Saltari, 2018. "Economic Fluctuations in the U.S. and Euro Area: Quantifying the Contribution of Technical Change," Southern Economic Journal, John Wiley & Sons, vol. 85(1), pages 203-216, July.
    13. Charpe, Matthieu & Bridji, Slim & Mcadam, Peter, 2020. "Labor Share And Growth In The Long Run," Macroeconomic Dynamics, Cambridge University Press, vol. 24(7), pages 1720-1757, October.
    14. repec:hal:wpspec:info:hdl:2441/5j3i17uo7399t940lrt6h6n545 is not listed on IDEAS
    15. Drago Bergholt & Francesco Furlanetto & Nicolò Maffei-Faccioli, 2022. "The Decline of the Labor Share: New Empirical Evidence," American Economic Journal: Macroeconomics, American Economic Association, vol. 14(3), pages 163-198, July.
    16. Sohei Kaihatsu & Takushi Kurozumi, 2014. "Sources of Business Fluctuations: Financial or Technology Shocks?," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 17(2), pages 224-242, April.
    17. Panon, Ludovic, 2022. "Labor share, foreign demand and superstar exporters," Journal of International Economics, Elsevier, vol. 139(C).
    18. Gene M. Grossman & Elhanan Helpman & Ezra Oberfield & Thomas Sampson, 2021. "Endogenous Education and Long-Run Factor Shares," American Economic Review: Insights, American Economic Association, vol. 3(2), pages 215-232, June.
    19. Juan E. Jacobo, 2022. "Back to the Surplus: An Unorthodox Neoclassical Model of Growth, Distribution and Unemployment with Technical Change," Papers 2211.14978, arXiv.org.
    20. Yasuo Hirose & Takushi Kurozumi, 2012. "Do Investment-Specific Technological Changes Matter For Business Fluctuations? Evidence From Japan," Pacific Economic Review, Wiley Blackwell, vol. 17(2), pages 208-230, May.
    21. Jakob Grazzini & Lorenza Rossi, 2020. "New Firms, Capital Intensity and the Labor Share: New Theoretical and Empirical Insights," CESifo Working Paper Series 8255, CESifo.

    More about this item

    Keywords

    Labor Share; Elasticity of Capital-Labor Substitution; Inflation;
    All these keywords.

    JEL classification:

    • E31 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Price Level; Inflation; Deflation
    • E32 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Business Fluctuations; Cycles

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:boj:bojwps:wp18e20. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Bank of Japan (email available below). General contact details of provider: https://edirc.repec.org/data/bojgvjp.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.